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The application of a new mean value theorem to the fractional parts
The application of a new mean value theorem to the fractional parts

1-1 Patterns and Inductive Reasoning
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... 4. Conclusion and Future Work We were able to handle the behavior of the number of Zeckendorf summands of numbers drawn from small intervals by finding a correspondence between Zeckendorf decompositions in the interval [m, m + Fα(n) ) and in the interval [0, Fα(n) ) when a certain gentle condition i ...
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List of important publications in mathematics



This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.
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